A homeowner wants to limit the steady-state rate of thermal energy loss through a…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A homeowner wants to limit the steady-state rate of thermal energy loss through a 35 m235\,\text{m}^2 section of wall to no more than 200 W200\,\text{W}. The indoor air is at 22 ∘C22\,^{\circ}\text{C} and the outdoor air is at −3 ∘C-3\,^{\circ}\text{C}. The wall will be filled with fiberglass insulation of thermal conductivity 0.040 W ⁣/ ⁣(m⋅ ⁣∘C)0.040\,\text{W}\!/\!(\text{m}\cdot\!^{\circ}\text{C}). Approximately what minimum thickness of insulation is required? (a) 14 cm14\,\text{cm} (b) 35 cm35\,\text{cm} (c) 18 cm18\,\text{cm} (d) 7.0 cm7.0\,\text{cm}

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